Question

what are the gas laws?
the temperature, pressure, and volume of a gas are linked to each other. when one of these changes, the other two change. the gas laws describe how the temperature, pressure, and volume of a gas are related to each other.

1. boyle’s law

boyle’s law says that the volume of a gas is inversely related to its pressure when temperature stays the same. this means that when the pressure of a gas increases, its volume will decrease. for example, if the pressure of a gas doubles, the volume will be cut in half. this is seen in the figure below.
boyles law
lifting the piston lets the particles of gas spread far apart. the volume of the gas increases as the pressure decreases.
pushing the piston forces the gas particles close together. the volume of the gas decreases as the pressure increases.
math focus

1. determine if the pressure of a gas is tripled and its temperature remains constant, what happens to its volume?

Explanation:

Step1: State Boyle's Law formula

For constant temperature, $P_1V_1 = P_2V_2$, where $P_1$=initial pressure, $V_1$=initial volume, $P_2$=final pressure, $V_2$=final volume.

Step2: Substitute given pressure change

Given $P_2 = 3P_1$, substitute into the formula:
$P_1V_1 = 3P_1V_2$

Step3: Solve for final volume

Divide both sides by $P_1$:
$V_1 = 3V_2$
Rearrange to solve for $V_2$:
$V_2 = \frac{V_1}{3}$

Answer:

The volume of the gas will be reduced to one-third of its original volume.